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Showing posts from October, 2023

Philosophy of Mathematics: The Journey of Numbers from Tangible to Abstract

        Numbers are universal. They’re present in every part of the world, and have been really important from the beginning (Boissoneault). Originally rooted in the tangible, numbers were once directly linked to physical objects: three oranges, ten trees, a hundred grains of rice. But as humanity progressed, so did our conception of numbers. Abstraction took over numbers and led us into a new era of understanding the physical world. In ancient times, numbers were very tightly tied to the material world (Law). A farmer might use stones to keep track of his cattle, with each stone representing a cow. To trade, you had to engage in a bartering system, where physical goods were exchanged directly. However, as communities became more complicated, so did their trading and representation systems. Relying only on actual counting methods proved inconvenient. A more adaptable, scalable system was required. This prompted the transition from concrete counting systems to abstract number represen